PHYSICS
General
Units and dimensions, dimensional analysis; least count, significant figures; Methods of
measurement and error analysis for physical quantities pertaining to the following
experiments: Experiments based on using Vernier calipers and screw gauge
(micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s
method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and
a convex lens using u-v method, Speed of sound using resonance column, Verification of
Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire
using meter bridge and post office box.
Mechanics
Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform
circular motion; Relative velocity.
Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static
and dynamic friction; Kinetic and potential energy; Work and power; Conservation of
linear momentum and mechanical energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic
collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion
of planets and satellites in circular orbits; Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of
inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque;
Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation;
Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies;
Collision of point masses with rigid bodies.
Linear and angular simple harmonic motions.
Hooke’s law, Young’s modulus.
Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary
rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity,
Streamline flow, equation of continuity, Bernoulli’s theorem and its applications.
Wave motion (plane waves only), longitudinal and transverse waves, superposition of
waves; Progressive and stationary waves; Vibration of strings and air columns;
Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
Thermal physics
Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction
in one dimension; Elementary concepts of convection and radiation; Newton’s law of
cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases);
Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and
work; First law of thermodynamics and its applications (only for ideal gases); Blackbody
radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law,
Stefan’s law.
Electricity and magnetism
Coulomb’s law; Electric field and potential; Electrical potential energy of a system of
point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines;
Flux of electric field; Gauss’s law and its application in simple cases, such as, to find
field due to infinitely long straight wire, uniformly charged infinite plane sheet and
uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series
and parallel; Energy stored in a capacitor.
Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells;
Kirchhoff’s laws and simple applications; Heating effect of current.
Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight
wire, along the axis of a circular coil and inside a long straight solenoid; Force on a
moving charge and on a current-carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop;
Moving coil galvanometer, voltmeter, ammeter and their conversions.
Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC,
LR and LC circuits with d.c. and a.c. sources.
Optics
Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces;
Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses;
Combinations of mirrors and thin lenses; Magnification.
Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit
experiment.
Modern physics
Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Halflife and mean life; Binding energy and its calculation; Fission and fusion processes;
Energy calculation in these processes.
Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous
X-rays, Moseley’s law; de Broglie wavelength of matter waves.